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We write a[x >-^ v] denote the store that is just like a except that variable x now maps to V. Specifically, Vx € Variables[FCL]. {a[x' ^ v])ix) "^^^ {l^^,^ '^^ = ^^ For the meantime, we will assume that execution of a program p begins with an initial store ainit where all variables occurring in p have been initialized to the value 0. More precisely, the initial store ainit for program p is defined as follows: - Block maps: In a typical implementation of FCL, one would use some sort of data structure to fetch a block b given 6's label.

The goal of this tutorial is to present partial evaluators that — are easy to understand (they have a very clean semantic foundation), — are simple enough for students to code quickly, and that — capture the most important properties that one encounters when specializing programs written in much richer languages. Supported in part by NSF under grant CCR-9701418, and NASA under award NAG 21209. 234 Nichols Hall, Manhattan KS, 66506, USA. edu/'hatcliff Introduction to Online and Offline Partial Evaluation 21 For each specializer presented, there is an accompanying Scheme and Java implementation.

The goal of this tutorial is to present partial evaluators that — are easy to understand (they have a very clean semantic foundation), — are simple enough for students to code quickly, and that — capture the most important properties that one encounters when specializing programs written in much richer languages. Supported in part by NSF under grant CCR-9701418, and NASA under award NAG 21209. 234 Nichols Hall, Manhattan KS, 66506, USA. edu/'hatcliff Introduction to Online and Offline Partial Evaluation 21 For each specializer presented, there is an accompanying Scheme and Java implementation.